258532560 has 560 divisors, whose sum is σ = 1092930048. Its totient is φ = 55987200.

The previous prime is 258532559. The next prime is 258532567. The reversal of 258532560 is 65235852.

It is a happy number.

258532560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258532567) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8339745 + ... + 8339775.

Almost surely, 2^258532560 is an apocalyptic number.

258532560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546465024).

258532560 is an abundant number, since it is smaller than the sum of its proper divisors (834397488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258532560 is a wasteful number, since it uses less digits than its factorization.

258532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 258532560 is about 16078.9477267637. The cubic root of 258532560 is about 637.0474019339.

The spelling of 258532560 in words is "two hundred fifty-eight million, five hundred thirty-two thousand, five hundred sixty".